On the continuum limit for a model of binary waveguide arrays

William Borrelli

doi:10.1007/s00030-022-00760-9

On the continuum limit for a model of binary waveguide arrays

William Borrelli

Università Cattolica del Sacro Cuore

Risultato della ricerca: Contributo in rivista › Articolo

Abstract

In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.

Lingua originale	Inglese
pagine (da-a)	N/A-N/A
Rivista	NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume	29
DOI	https://doi.org/10.1007/s00030-022-00760-9
Stato di pubblicazione	Pubblicato - 2022

Keywords

Discrete-to-continuum limit
Nonlinear Dirac equations
Standing waves
Waveguide arrays

Accesso al documento

10.1007/s00030-022-00760-9

Altri file e collegamenti

Link a IRIS PubliCatt

Cita questo

@article{0bdd430a30e647098b35a7865f07d41f,

title = "On the continuum limit for a model of binary waveguide arrays",

abstract = "In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.",

keywords = "Discrete-to-continuum limit, Nonlinear Dirac equations, Standing waves, Waveguide arrays, Discrete-to-continuum limit, Nonlinear Dirac equations, Standing waves, Waveguide arrays",

author = "William Borrelli",

year = "2022",

doi = "10.1007/s00030-022-00760-9",

language = "English",

volume = "29",

pages = "N/A--N/A",

journal = "NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS",

issn = "1021-9722",

publisher = "Birkhaeuser Verlag AG:Viaduktstrasse 42-44, CH 4051 Basel Switzerland:011 41 61 2050707, EMAIL: [email protected], INTERNET: http://www.birkhauser.ch, Fax: 011 41 61 2050792",

}

TY - JOUR

T1 - On the continuum limit for a model of binary waveguide arrays

AU - Borrelli, William

PY - 2022

Y1 - 2022

N2 - In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.

AB - In this paper we prove the convergence of solutions to discrete models for binary waveguide arrays toward those of their formal continuum limit, for which we also show the existence of localized standing waves. This work rigorously justifies formal arguments and numerical simulations present in the Physics literature.

KW - Discrete-to-continuum limit

KW - Nonlinear Dirac equations

KW - Standing waves

KW - Waveguide arrays

KW - Discrete-to-continuum limit

KW - Nonlinear Dirac equations

KW - Standing waves

KW - Waveguide arrays

UR - http://hdl.handle.net/10807/200162

U2 - 10.1007/s00030-022-00760-9

DO - 10.1007/s00030-022-00760-9

M3 - Article

SN - 1021-9722

VL - 29

SP - N/A-N/A

JO - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

JF - NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS

ER -

On the continuum limit for a model of binary waveguide arrays

Abstract

Keywords

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo